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Q.

Factorize the following algebraic expression,


 X3-23x2-142x+120


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a

( X-1) (X-6) (X-12)

b

(X-1) (X-10) (X-12)

c

(X-5) (X+8)

d

(X-1) (X-10) (X+5)  

answer is B.

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Detailed Solution

  x3-23x2+142x-120
=x3-x2-22x2+22x+120x-120
=x2(x-1)-22x(x-1)+120(x-1)
=(x-1)(x2-22x+120)
=(x-1)[x2-10x-12x+120]
=(x-1)[x(x-10)-12(x-10)]
=x-1x-10x-12
 
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Factorize the following algebraic expression, X3-23x2-142x+120